Results 41 to 50 of about 77,290 (197)

Lie triple derivations of dihedron algebra

open access: yesFrontiers in Physics, 2023
Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
doaj   +1 more source

Octonions, E6, and Particle Physics

open access: yes, 2010
In 1934, Jordan et al. gave a necessary algebraic condition, the Jordan identity, for a sensible theory of quantum mechanics. All but one of the algebras that satisfy this condition can be described by Hermitian matrices over the complexes or quaternions.
Corinne A Manogue   +8 more
core   +1 more source

The fundamental theorem of asset pricing with and without transaction costs

open access: yesMathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.
Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
wiley   +1 more source

On strongly Jordan zero-product preserving maps [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of  Jordan zero-product preserving maps.
Ali Reza Khoddami
doaj  

Hom–Jordan–Malcev–Poisson algebras

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2022
UDC 512.5 We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called  Hom–Jordan–Malcev–Poisson algebras.   We show that they are closed under twisting by suitable self-maps and   give a characterization of admissible Hom–Jordan–Malcev–Poisson algebras.
Chtioui, T., Mabrouk, S., Makhlouf, A.
openaire   +3 more sources

Exceptional Lie Algebras, SU(3) and Jordan Pairs

open access: yes, 2011
A simple unifying view of the exceptional Lie algebras is presented. The underlying Jordan pair content and role are exhibited. Each algebra contains three Jordan pairs sharing the same Lie algebra of automorphisms and the same external su(3) symmetry ...
Truini, Piero
core   +1 more source

The Natural Components of a Regular Linear System

open access: yesOxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

Superderivations and Jordan superderivations of generalized quaternion algebras [PDF]

open access: yesJournal of Mahani Mathematical Research
Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$
Leila Heidari Zadeh
doaj   +1 more source

Multiplicative properties of positive maps

open access: yes, 2006
Let $\phi$ be a positive unital normal map of a von Neumann algebra $M$ into itself, and assume there is a family of normal $\phi$-invariant states which is faithful on the von Neumann algebra generated by the image of $\phi$.
Stormer, Erling
core   +1 more source

The Mathematical History Behind the Granger–Johansen Representation Theorem

open access: yesOxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley   +1 more source

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